1) isomorphic convert
同构变换
1.
The relations of adjacency matrices between A\-G of graph G and A\-H of graph H is discussed the isomorphic convert of graph is defined, and the necessary and sufficient conditions for isomorphism of graphs G and H are given.
讨论了同构图G和H的邻接矩阵AG与AH之间的关系,给出了图的同构变换概念,并证明了图同构的充要条件。
2) automorphic transformation
自同构变换
3) holomorphic automorphism
全纯自同构变换
4) homomorphic transform
同态变换
1.
In order to remove multiplicative noise in observation a new method for multiplicative noise reduction based on homomorphic transform and blind source separation(BSS) was proposed,using redundancy reduction of independent component analysis(ICA).
为消除乘法性观测噪声,利用独立分量分析的冗余取消特性,提出一种基于同态变换盲源分离(BSS)的消噪新方法。
5) homeomorphic transformation
同胚变换
1.
The method was based on a homeomorphic transformation of the infinity into the origin(linear singular point).
用一同胚变换将无穷远点转变成原点(初等奇点)。
2.
The method is based on a homeomorphic transformation of the degenerate singular point into elementary singular point,which allows us to compute the generalized Lyapunov constants(the singular point quantities)for the origin and derive the center conditions for the degenerate singular point.
用一同胚变换将退化奇点转变成初等奇点进而计算了原点的Lyapunov常数(奇点量),并由此得到了原点的中心条件。
6) contract transformation
合同变换
1.
A cyber-algorithm for transforming a symmetric real-matrix () into a diagonal matrix () with contract transformation is given.
给出了用合同变换化实对称矩阵A为对角矩阵D,及其同时求得P（PTAP=D）的计算机算法。
补充资料：Radon变换和逆Radon变换
Radon变换和逆Radon变换
X线物理学术语。CT重建图像成像的主要理论依据之一。1917年澳大利亚数学家Radon首先论证了通过物体某一平面的投影重建物体该平面两维空间分布的公式。他的公式要求获得沿该平面所有可能的直线的全部投影(无限集合)。所获得的投影集称为Radon变换。由Radon变换进行重建图像的操作则称为逆Radon变换。Radon变换和逆Radon变换对CT成像的意义在于，它从数学原理上证实了通过物体某一断层层面“沿直线衰减分布的投影”重建该层面单位体积，即体素的线性衰减系数两维空间分布的可能性。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条